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Proceedings Paper

Coupled mode analysis of the photonic crystal waveguide
Author(s): John M. Choi; Yong Xu; Amnon Yariv
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Paper Abstract

Starting from an intuitive picture of photons bouncing back and forth within a slab of a uniform medium surrounded by photonic crystal (PC) layers, we develop a coupled mode formalism for the analysis of a PC waveguide. The modal solution in the core is given by counter-propagating waves while the cladding field is derived from a modified coupled mode formalism. This coupled mode approach is used to analyze the dispersion and loss of the PC waveguide. Although coupled mode theory is usually applied to structures with a small index contrast perturbation, we find that our coupled mode formalism with an empirical coupling constant can be used to model a large index contrast PC waveguide. A single constant is used to analyze the dispersion and the loss of a two dimensional PC waveguide, a GaAs substrate with air holes. Our results are corroborated with a two dimensional finite-difference time-domain (FDTD) simulation and we find good quantitative agreement between the coupled mode theory and the FDTD analysis.

Paper Details

Date Published: 9 July 2003
PDF: 8 pages
Proc. SPIE 5000, Photonic Crystal Materials and Devices, (9 July 2003); doi: 10.1117/12.480061
Show Author Affiliations
John M. Choi, California Institute of Technology (United States)
Yong Xu, California Institute of Technology (United States)
Amnon Yariv, California Institute of Technology (United States)

Published in SPIE Proceedings Vol. 5000:
Photonic Crystal Materials and Devices
Ali Adibi; Axel Scherer; Shawn Yu Lin, Editor(s)

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